Why does a glass of ice water eventually have water droplets on the outside of the glass?

Warmer water inside the glass moves away from the ice and to the outside of the glass.
As the ice melts, the pressure inside the glass increases, and some of the water is pushed through the glass.
Liquid water droplets in the air are attracted to the cold glass.
Water vapor in the air comes into contact with the cold glass, losing energy to it and condensing into droplets.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".